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Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the

number of hours Sasha exercises. The system of equations shown below represents this situation, where

x represents the number of hours Max exercises and y represents the number of hours Sasha exercises.

How many hours do Max and Sasha exercise per week?

(x + y = 20

x - 4y =-15

Max exercises

hours a week and Sasha exercises

hours a week.

Respuesta :

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

[tex]x = 4y - 15[/tex]

Replacing in the first equation:

[tex]x + y = 20[/tex]

[tex]4y - 15 + y = 20[/tex]

[tex]5y = 35[/tex]

[tex]y = \frac{35}{5}[/tex]

[tex]y = 7[/tex]

So Sasha exercises 7 hours per week.

Max:

[tex]x + y = 20[/tex]

[tex]x + 7 = 20[/tex]

[tex]x = 13[/tex]

Max exercises 13 hours a week.

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